qu.1.topic=Ch 7, Sec 1 - Work Done by a Constant Force@ qu.1.1.mode=Multiple Choice@ qu.1.1.editing=useHTML@ qu.1.1.name=Units of Work@ qu.1.1.question=Work is measured in units of:@ qu.1.1.answer=2@ qu.1.1.choice.1=N@ qu.1.1.choice.2=N-m@ qu.1.1.choice.3=N/m@ qu.1.1.choice.4=N-m²/s@ qu.1.1.choice.5=N-s²/m@ qu.1.2.mode=Randomized Formula@ qu.1.2.editing=useHTML@ qu.1.2.name=Truck Pulling Trailer@ qu.1.2.question=A truck pulls a trailer exerting a constant force F = $f N. What is the amount of work done by the truck if it moves the trailer $d m? Assume that the angle between F and the displacement vector of the trailer is 0°. The trailer moves without friction.@ qu.1.2.answer=$ans J (1 ? 0.05)@ qu.1.2.random= $f\=rand(1000,3000,3); $d\=rand(10,200,3); $ans\=sig(3,$f*$d)@ qu.1.3.mode=Randomized Formula@ qu.1.3.editing=useHTML@ qu.1.3.name=Pulling Force (at Angle)@ qu.1.3.question=A $m-kg $block is pulled by a force F = $f N for $d m. What is the total work done on the $block if the coefficient of kinetic friction between the $block and the floor is $coeff_kinetic and a = $a°.

@ qu.1.3.answer=$ans J (1 ? 0.05)@ qu.1.3.random= $block\=switch(rint(3),"body","block","box"); $m\=rand(1.5,6,3); $f\=rand(50,99,3); $d\=rand(20,150,3); $coeff_kinetic\=rand(0.3,0.7,3); $a\=rand(15,60,3); $ans\=sig(3,($f*cos($a*3.14/180)-$coeff_kinetic(9.8*$m-$f*sin($a*3.14/180)))*$d)@ qu.1.4.mode=Randomized Formula@ qu.1.4.editing=useHTML@ qu.1.4.name=Box (4 Forces)@ qu.1.4.question=The picture below shows an overhead view of a box that is put in motion by four forces acting in the xy plane. Knowing that F₁ = $f1 N, F₂ = $f2 N, F₃ =$f3 N, F₄ = $f4 N, a = $a°, and b = $b°, find the net work done on the box if the box moves $d m. Friction is not involved.

@ qu.1.4.answer=$ans J (1 ? 0.05)@ qu.1.4.random= $k\=rand(0.9,1.1); $k1\=rand(0.2,0.6); $k2\=rand(0.2,0.6); $k3\=rand(0.2,0.6); $f1\=rand(5,14,3); $f2\=sig(3,$f1*($k+$k2)); $f3\=sig(3,$f1*($k+$k1)); $f4\=sig(3,$f1*($k+$k3)); $a\=rand(10,50,3); $b\=rand(25,60,3); $d\=rand(5,25,3); $fx\=$f2*cos($a*3.14/180)-$f4*sin($b*3.14/180); $fy\=$f1-$f2*sin($a*3.14/180)-$f3-$f4*cos($b*3.14/180); $ans\=sig(3,(($fx)^2+($fy)^2)^(1/2)*$d)@ qu.1.5.mode=Randomized Formula@ qu.1.5.editing=useHTML@ qu.1.5.name=Car (Stoplight)@ qu.1.5.question=A $m-kg car starts moving from a stoplight with an acceleration of $a m/s². Find the work done by the engine during the first $d m. The coefficient of friction between the tires and the road is $coeff.@ qu.1.5.answer=$ans J (1 ? 0.05)@ qu.1.5.random= $coeff\=rand(0.3,0.7,3); $m\=rand(800,2000,3); $a\=rand(1,4,3); $d\=rand(3,12,3); $ans\=sig(3,($m*$a+$coeff*$m*9.8)*$d)@ qu.1.6.mode=Randomized Formula@ qu.1.6.editing=useHTML@ qu.1.6.name=Sliding Block@ qu.1.6.question=A $m-kg wooden block placed on an inclined surface is allowed to slide in the direction of the x axis (see picture). Find the measure of a in degrees, deg, if the block travels $d m along the incline and if the work done by the gravitational force is $w J. Assume there is no friction.

@ qu.1.6.answer=$ans deg (1 ? 0.05)@ qu.1.6.random= $m\=rand(10,20,3); $d\=rand(2,4,3); $w\=rand(60,190,3); $ans\=sig(3,180/3.14*arcsin($w/($m*9.8*$d)))@ qu.1.7.mode=Randomized Formula@ qu.1.7.editing=useHTML@ qu.1.7.name=Sled Pulled@ qu.1.7.question=A $m-kg sled is pulled $d m over the ice at a constant speed. The coefficient of friction between sled and ice is $k. How much work is done in pulling the sled the $d m?@ qu.1.7.answer=$ans J (1 ? 0.05)@ qu.1.7.random= $d\=rand(10,30,3); $m\=rand(40,90,3); $k\=rand(0.05,0.12,3); $ans\=sig(3,$k*$m*9.8*$d)@ qu.1.8.mode=Randomized Formula@ qu.1.8.editing=useHTML@ qu.1.8.name=Constant Horizontal Force@ qu.1.8.question=A constant horizontal force of $f N is applied to a $m kg block initially at rest on a friction-free surface. How much work is done on the block in the first $t s after the force is applied?@ qu.1.8.answer=$ans J (1 ? 0.05)@ qu.1.8.random= $f\=rand(3,7,3); $m\=rand(3,5,3); $t\=rand(1,5,3); $ans\=sig(3,0.5*($f)^2*($t)^2/$m)@ qu.2.topic=Ch 7, Sec 2 - Kinetic Energy and The Work-Energy Theorem@ qu.2.1.mode=Multiple Choice@ qu.2.1.editing=useHTML@ qu.2.1.name=Units of Energy@ qu.2.1.question=What are the units of energy?@ qu.2.1.answer=1@ qu.2.1.choice.1=Joules@ qu.2.1.choice.2=Newtons@ qu.2.1.choice.3=Kilograms@ qu.2.1.choice.4=Amperes@ qu.2.1.choice.5=Radians@ qu.2.2.mode=Multiple Choice@ qu.2.2.editing=useHTML@ qu.2.2.name=Units of Energy 2@ qu.2.2.question=Energy is measured in units of:@ qu.2.2.answer=3@ qu.2.2.choice.1=kg-m-s@ qu.2.2.choice.2=kg-m/s@ qu.2.2.choice.3=kg-m²/s²@ qu.2.2.choice.4=kg-m²/s@ qu.2.2.choice.5=kg-m/s²@ qu.2.3.mode=Randomized Formula@ qu.2.3.editing=useHTML@ qu.2.3.name=E_K@ qu.2.3.question=Find the kinetic energy of a $m-kg rock moving with a speed of $v km/h.@ qu.2.3.answer= $ans J (1 ? 0.05)@ qu.2.3.random= $m\=rand(0.5,3,3); $v\=rand(30,90,3); $ans\=sig(3,0.5*$m*($v/3.6)^2)@ qu.2.4.mode=Randomized Formula@ qu.2.4.editing=useHTML@ qu.2.4.name=E_K --> Speed@ qu.2.4.question=The kinetic energy of an $m-kg object is equal $Ek J. What is its speed?@ qu.2.4.answer=$ans m/s (1 ? 0.05)@ qu.2.4.random= $m\=rand(5,15,3); $Ek\=rand(3000,5000,3); $ans\=sig(3,(2*$Ek/$m)^(1/2))@ qu.2.5.mode=Randomized Formula@ qu.2.5.editing=useHTML@ qu.2.5.name=E_K --> Mass@ qu.2.5.question=A car has a speed of $v mi/h. Find its mass if its kinetic energy is $E × 10⁵ J.@ qu.2.5.answer=$ans kg (1 ? 0.05)@ qu.2.5.random= $v\=rand(57,72,3); $E\=rand(5,9,3); $v1\=1397/3125*$v; $ans\=sig(3,2*$E*10^5/($v1)^2)@ qu.2.6.mode=Randomized Formula@ qu.2.6.editing=useHTML@ qu.2.6.name=Change in Speed@ qu.2.6.question=An engine does $dE × 10⁵ J of work while accelerating a $m-kg car from rest. Find the change in speed of the car.@ qu.2.6.answer=$ans m/s (1 ? 0.05)@ qu.2.6.random= $dE\=rand(0.5,2.2,3); $m\=rand(900,1800,3); $ans\=sig(3,(2*$dE*10^5/$m)^(1/2))@ qu.2.7.mode=Randomized Formula@ qu.2.7.editing=useHTML@ qu.2.7.name=Pulled Box@ qu.2.7.question=A box is pulled along a rough surface as shown in the picture. It starts with an initial speed of $v0 m/s. Eventually it is accelerated up to $v1 m/s. Find the coefficient of kinetic friction between the box and the surface if the mass of the box is $m kg, F = $f N, a = $a°, and the distance the box moves is $d m.

@ qu.2.7.answer=$ans (1 ? 0.05)@ qu.2.7.random= $v0\=rand(1,1.5,3); $k\=rand(4,4.5,3); $v1\=sig(3,$v0*$k); $m\=rand(10,12,3); $a\=rand(10,30,3); $f\=rand(70,90,3); $d\=rand(4,4.5,3); $work\=0.5*$m*($v1^2-$v0^2); $ddd1\=$f*cos($a*3.14/180)*$d; $total1\=$work-$ddd1; $ans\=sig(3,-$total1/($m*9.8-$f*sin($a*3.14/180))*1/$d)@ qu.2.8.mode=Randomized Formula@ qu.2.8.editing=useHTML@ qu.2.8.name=Car Breaking@ qu.2.8.question=A $m-kg car is traveling at $v mi/h. At some point the driver puts on the breaks and the car comes to a stop $t s later. Find the force exerted on the car by the breaks using the Work-Energy Theorem.@ qu.2.8.answer=$ans N (1 ? 0.05)@ qu.2.8.random= $m\=rand(900,1800,3); $v\=rand(50,65,3); $t\=rand(10,20,3); $ans\=sig(3,$m*$v/$t*1397/3125)@ qu.3.topic=Ch 7, Sec 3 - Work Done by a Variable Force@ qu.3.1.mode=Randomized Formula@ qu.3.1.editing=useHTML@ qu.3.1.name=Box Approaching Spring@ qu.3.1.question=A $m-kg $box sliding without friction reaches a spring that is firmly attached to a wall on the opposite side. The $box compresses the spring by $dx cm. Find the initial speed of the $box if originally the spring was in its equilibrium position. Assume the force constant of the spring to be $k N/m.

@ qu.3.1.answer= $ans m/s (1 ? 0.05)@ qu.3.1.random= $box\=switch(rint(2),"box","block"); $m\=rand(1,5,3); $dx\=rand(5,15,3); $k\=rand(100,400,3); $ans\=sig(3,($k/$m)^(1/2)*($dx/100))@ qu.3.2.mode=Randomized Formula@ qu.3.2.editing=useHTML@ qu.3.2.name=Box Approaching Spring II@ qu.3.2.question=A $m-kg box sliding without friction reaches a spring that is firmly attached to a wall on the opposite side. The box has an initial speed of $v m/s. Find the maximum compression of the spring caused by the box if the force constant of the spring is $k N/m.

@ qu.3.2.answer=$ans m (1 ? 0.05)@ qu.3.2.random= $k\=rand(200,500,3); $m\=rand(1,5,3); $v\=rand(2,6,3); $ans\=sig(3,($m/$k)^(1/2)*$v)@ qu.3.3.mode=Randomized Formula@ qu.3.3.editing=useHTML@ qu.3.3.name=Spring Compression@ qu.3.3.question=A spring has a force constant of $k N/m. How much work is required to compress this spring $dx cm?@ qu.3.3.answer=$ans J (1 ? 0.05)@ qu.3.3.random= $dx\=rand(5,15,3); $k\=rand(100,400,3); $ans\=sig(3,0.5*$k*($dx/100)^2)@ qu.3.4.mode=Randomized Formula@ qu.3.4.editing=useHTML@ qu.3.4.name=F vs x@ qu.3.4.question=According to the graph, how much work is required to stretch the spring from x₁ = $x1 cm to x₂ = $x2 cm?

@ qu.3.4.answer=$ans J (1 ? 0.3)@ qu.3.4.random= $x1\=rand(3,5,3); $k\=rand(0.9,1.75); $x2\=sig(3,$x1*(1+$k)); $ans\=sig(3,125*(($x2/100)^2-($x1/100)^2))@ qu.3.5.mode=Randomized Formula@ qu.3.5.editing=useHTML@ qu.3.5.name=Stretched Spring + Block@ qu.3.5.question=A spring that has a block firmly attached to it on one end is stretched a length Dx. At some point the block is released. What is its speed as it passes through the equilibrium position of the spring (x₀) if the mass of the block is $m kg. Assume that the points x₀ and x₁ are $x0 cm and $x1 cm away from the wall respectively, and the force constant of the spring is $k N/m. The block moves without friction.

@ qu.3.5.answer=$ans m/s (1 ? 0.05)@ qu.3.5.random= $m\=rand(1,4,3); $x0\=rand(7,12,3); $koeff\=rand(0.4,0.9); $x1\=sig(3,$x0*(1+$koeff)); $k\=rand(300,700,3); $ans\=sig(3,($x1/100-$x0/100)*($k/$m)^(1/2))@ qu.4.topic=Ch 7, Sec 4 - Power@ qu.4.1.mode=Randomized Formula@ qu.4.1.editing=usehtml@ qu.4.1.name=Accelerating Car@ qu.4.1.question=A $m-kg car accelerates from a stop reaching a speed of $v mi/h in $t s. Calculate the power supplied by the engine during these $t s. Give the answer in watts, W.@ qu.4.1.answer=$ans W (1 ? 0.05)@ qu.4.1.random= $m\=rand(900,1800,3); $v\=rand(50,65,3); $t\=rand(7,12,3); $v_SI\=$v*1397/3125; $ans\=sig(3,0.5*$m*$v_SI^2/$t)@ qu.4.2.mode=randomized formula@ qu.4.2.editing=usehtml@ qu.4.2.name=Power of Engine@ qu.4.2.question=How much power is produced by an engine of a car at $v mi/h if the pulling force exerted by the engine is $f N. Give your answer in watts, W.@ qu.4.2.answer=$ans W (1 ? 0.05)@ qu.4.2.random= $v\=rand(45,65,3); $v_SI\=$v*1397/3125; $f\=rand(2000,3000,3); $ans\=sig(3,$f*$v_SI)@ qu.4.3.mode=randomized formula@ qu.4.3.editing=usehtml@ qu.4.3.name=Acclelerating a Block@ qu.4.3.question=What is the power required to accelerate a $m-kg block from rest up to $v m/s if the block travels $dx m and a = $a°? Assume there is no friction.

@ qu.4.3.answer=$ans W (1 ? 0.05)@ qu.4.3.random= $dx\=rand(0.5,2.5,3); $a\=rand(10,45,3); $m\=rand(2,6,3); $v\=rand(2,5,3); $t\=2*$dx/$v; $ans\=sig(3,$m*($v)^2/(2*$t))@ qu.4.4.mode=Randomized Formula@ qu.4.4.editing=usehtml@ qu.4.4.name=Lifting a Box@ qu.4.4.question=You lift a box off the ground with a speed of $v m/s. What is the mass of the box if the power output of your body is $P W?@ qu.4.4.answer=$ans kg (1 ? 0.05)@ qu.4.4.random= $v\=rand(0.9,2.5,3); $P=rand(95,130,3); $ans\=sig(3,$P/(9.8*$v))@ qu.4.5.mode=Randomized Formula@ qu.4.5.editing=useHTML@ qu.4.5.name=Compressing a Spring@ qu.4.5.question=A spring that was initially in its equilibrium state is compressed $dx cm. What is the force constant k of the spring if the compression required $P W of power and was done over $t s?@ qu.4.5.answer=$ans N/m (1 ? 0.05)@ qu.4.5.random= $dx\=rand(15,25,3); $x\=$dx/100; $P\=rand(10,35,3); $t\=rand(0.2,1.2,3); $ans\=sig(3,2*$P*$t/($x)^2)@